Yes indeed, there were ice crystals in a higher level during the display, especially at the end of it (the photo of 120 deg parhelion was taken at that time). But earlier the crystals were glittering even near ground, but still not enough to resolve them on photos or produce subsun (here is one of earlier photos from that morning: http://ukazy.astro.cz/gal/20060203Trzicky0854_img2151.jpg)